Steve is using the completing the square method to solve a quadratic equation. His first 2 steps are shown.
Given: 2x2 + 32x + 16 = 0
Step 1: 2? + 16x +8 = 0
Step 2: ? + 160 = -8
Write numbers in each box to correctly complete the square in Step 3.
Step 3: x2 + 16x+ ____=____

Answer:

Step-by-step explanation:

➊ To find the smallest number, let us consider the three consecutive numbers be x, x + 1, and x + 2.

Given :

According to the question,

↦ x + x + 1 + x + 2 = 18

↦ 3x + 3 = 18

↦ 3x = 18 - 3

↦ 3x = 15

↦ x = 15/3

➦ x = 5

∴ Hence, the required value of x is 5.

➋ Now we have the value of x. So, by putting the value of x in the assumed numbers we will find out the numbers and then check which is the smallest number.

➲ First number = x = 5.

➲ Second number = x + 1 = 5 + 1 = 6.

➲ Third number = x + 2 = 5 + 2 = 7.

∴ Hence, the smallest number is 5.

✻ Verification ✻

↦ x + x + 1 + x + 2 = 18

Putting x = 5 we get,

↦ 5 + 5 + 1 + 5 + 2 = 18

↦ 5 + 6 + 7 = 18

↦ 18 = 18

➦ LHS = RHS

∴ Hence, Verified ✔

Answer:

99°

Step-by-step explanation:

180-(63+8) = 99°...........

Answer:

8

Step-by-step explanation:

a A + b A where A is a matrix and a and b are scalars

(a+b) A

[tex]Hello[/tex] [tex]There![/tex]

I'll be helping with your questions today!!

Let's do this step-by-step explanation!

[tex]3[/tex] × [tex](1\frac{4}{9})[/tex]

[tex]3(\frac{13}{9} )[/tex]

[tex]=\frac{13}{3}[/tex]

[tex]=4\frac{1}{3}[/tex]

Answer:

[tex]4\frac{1}{3}[/tex]

Hopefully, this helps you!!

#LearnWithBrainlyAlways~

[tex]SokkaBanned[/tex]

Answer:

the erroris 3.6%

Step-by-step explanation:

Answer:

So,

We know

Relative Frequency= F/N

Then,

N= Total Frequency

F= Repeated Number

Using this You can Find your answer.

If more confused, then ask help with your Mathematics Teacher.

Answer:

You can also divide the standard hourly rate by 2 and then add this amount to their standard rate. For example, if the hourly rate is $10, then divide $10 by 2 to produce $5. When you add that $5 to the $10 rate, this overtime rate equals $15. As another example, if someone makes $20 per hour, then the overtime rate is $30 ($20 x 1.5 = $30).

Step-by-step explanation:

keep at learning ♥️

Considering a proportional relationship for the situation, the correct conclusion is given as follows:

(17,3) is viable.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

In this problem, since there is a proportional relationship, it has to have point (0,0), hence the viable points are (-2,7), (17,3) and (20,5), and the correct conclusion is:

(17,3) is viable.

More can be learned about proportional relationships at https://brainly.com/question/10424180

Answer:

its 17,3 I'm pretty sure

Step-by-step explanation:

Answer:

5and CORRECT ME if I'm wrong

Answer:

small car

Step-by-step explanation:

if they rent the small car for 5 days

(39+21)×5÷4=75

Answer:

Rewrite the function as an equation.y=−x/ 3+ 8

y=-x3+8

Rewrite in slope-intercept form. y = −1/3x+8. Use the slope-intercept form to find the slopeand y-intercept. Slope: −1/3 intercept: (0,8)(0,8) Find the values of mm and bb using the form y=mx+b

Any line can be graphed using two points. Select two xx values, and plug them into the equation to find the corresponding yy values. Graph the line using the slope and the y-intercept, or the points.Slope: −1/3

y-intercept: (0,8)

Let us first put what we see in the image into words

 --> 3 of the p-values equals 1/2

Now let us put that in an equation

--> [tex]3p = \frac{1}{2}[/tex]

Hope that helps!

Answer:

B,C,F

Step-by-step explanation:

hope this is right

Step-by-step explanation:

There are x kids in the group

So, adults are 13-x people

(13-x)(12) + x(8) = 124

156 - 12x + 8x = 124

156 - 124 = 4x

4x = 32

x = 8

There are 8 kids in that group.

Answer 0.003 i think lol

Step-by-step explanation:

Answer:  tens place

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Two secants have equal ratios when (in this case) they are split up as

AB * AC = AD*AE

Givens

AB = x-2

AC = (x - 2 + x+ 4) = 2x + 2

AD = 4

AE = 5 + 4 = 9

Substitute and solution

(x - 2) (2x + 2) = 4 (9)                  Expand the left, Combine the right

2(x^2 - x - 2) = 36                       Divide both sides by 2

x^2 - x - 2 = 18                            Subtract 18 from both sides

x^2 - x - 2 - 18 = 18 - 18              Combine

x^2 - x - 20 = 0                           This factors

(x - 5)(x + 4) = 0                           Only one of these factors works

x - 5 = 0                                       Add 5 to both sides.

x = 5

Answer:

Angle B is 76.44°

Step-by-step explanation:

Answer:

The answer is Find the equation of a line that passes through the point (-5,-1) and has a gradient of −1/2. Leave your answer in the form y=mx+c

Step-by-step explanation:

Find the equation of a line that passes through the point (-5,-1) and has a gradient of −1/2. Leave your answer in the form y=mx+c

Answer:

B. The experimental probability must equal the theoretical probability.

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Total nos :-

Now

Total multiple of 2

Answer: Will need 7 week of time to afford a car worth 1932

Step-by-step explanation:

Missing information : car is worth 1932

Will works 7 hours day, 6 days a week.

=> Number of hours worked in a week = 7 * 6 = 42 hrs

paid 9.20 an hour

=> will  Weekly payment = 42 *9.2  =  386.4

will : mum = 5:2.

=> Will share = (5/7) * 386.4 =  276

car is worth  1932

Number of Weeks taken by will  to afford  a car  = 1932/276 = 7

divide 40 into ratio of 5:2

The ratio of monthly income to the saving of a family is 5:2.

Answer:

Marcy is correct

Step-by-step explanation:

If you had 3 straws that were the SAME length then there would only be 1 possible way to arrange them because no matter what order you put them in to form a triangle the outcome would always be the same because all 3 straws are the same length.

Since there are different lengths of straws, there are 3 possible ways you can arrange them so basically, there are multiple ways you can arrange the straws to make a triangle.

Marcy is correct.

Ryan is wrong.

Answer:

D

Step-by-step explanation:

16 1/3 × 4 2/3

=16 × 4 + 1/3 × 2/3

=64 + 2/9

=64 2/9

Answer:

We have the equation of the line as : 4x+2y=12

Step-by-step explanation:

Now 4x+2y=12

=> 2y = 12 - 4x

=> y = 6 - 2x

A line with a slope m and y-intercept c can be written as y = mx + c

In the case of y = -2x -...

Answer: (2, -1)

Step-by-step explanation:

Answer:

120 cm^2

Step-by-step explanation:

The area of a rectangle is it's length(l)  times its width(w):  

Area = l*w

Area = (12 cm)*(10 nm) = 120 cm^2

Question :-

Answer :-

[tex] \rule {180pt} {2pt} [/tex]

Given :-

To Find :-

Solution :-

As per the provided information in the given question, we have been given that the Lenght of Rectangle is 12 cm . Breadth of Rectangle is given 10 cm . And, we have been asked to calculate the Area of Rectangle .

For calculating the Area , we will use the Formula :-

Therefore , by Substituting the given values in the above Formula :-

⇒ Area of Rectangle = Lenght × Breadth

⇒ Area of Rectangle = 12 × 10

⇒ Area of Rectangle = 120

Hence :-

[tex] \underline {\rule {180pt} {4pt}} [/tex]

6x + 9(-5x-3) = 6x + 9*(-5x) + 9*(-3) = 6x -45x - 27 = -39x - 27

Hope that helps!

I think the question should be as follow:

➙ 6x + 9 - ( 5x - 3 )

➙ 6x + 9 - 5 x + 3

➙ 6x - 5x + 9 + 3

➙ x + 12

➙ x = -12

Anyways I've also solved according to the provided question:

‎ㅤ‎ㅤ‎ㅤ➙ 6x + 9 (-5x - 3 )

‎ㅤ‎ㅤ‎ㅤ➙ 6x - 45x - 27

‎ㅤ‎ㅤ‎ㅤ➙ - 39 x - 27

Further, we can solve for x ;

‎ㅤ‎ㅤ‎ㅤ➙ - 39 x - 27 = 0

‎ㅤ‎ㅤ‎ㅤ➙ - 39 x = 0 + 27

‎ㅤ‎ㅤ‎ㅤ➙ x = - 27 / 39

➲ More information:

Terms that have same identical variables, and same exponents parts are called like terms. To simplify these terms, you use addition and subtraction by combining the ' like terms '

Answer:

125+1-12=114

Step-by-step explanation:

[tex]5^{3}[/tex] = 5×5×5 = 25×5 = 125

[tex](4-3)^{2}=(1)^{2}=1[/tex]

-2×6 = -12

Answer:

5×5×5=125 4×4=16 3×3=9

125+ 16-9-2×6

125+7-2 ×6

125+ 5×6

125+30

155